How to meet standards for structural design and safety factors for concrete gravity dams.
This technical bulletin has been prepared to provide direction to MNR staff and guidance to dam owners in meeting standards for structural design and factors of safety for concrete gravity dams and is to be used when considering applications for approval under Section 14, 16, and 17.2 of the Lakes and Rivers Improvement Act (LRIA).
The standards and criteria outlined within this technical bulletin are intended to apply to dams (including the control structure and all appurtenant facilities) that hold back water in a river, lake, pond or stream to raise the water level, create a reservoir to control flooding or divert the flow of water; and are not intended to apply to other works subject to LRIA approval such as water crossings, channelizations, enclosures, pipelines and cables.
This technical bulletin must be read in conjunction with the Lakes and Rivers Improvement Act Administrative Guide (2011) and the Ministry of Natural Resource’s Classification and Inflow Design Flood Criteria Technical Bulletin.
The loading conditions that a structure may encounter during its service life are grouped into the load condition categories of Usual, Unusual, or Earthquake. Usual loads refer to loads and load combinations that can be expected to occur frequently during the service life of the structure (i.e. annual probability greater than or equal to 0.10). Unusual Loads refer to loads and load combinations that are of infrequent occurrence (i.e. annual probability less than 0.10). Table 1 outlines the minimum sliding safety factors (MSSFs) for concrete dams.
The stability of gravity concrete dams shall be assessed under the following loading combinations:
Loading Combination | Unbonded | Bonded |
Usual | 1.5 | 2.0 |
Unusual | 1.3 | 1.5 |
Earthquake | 1.1 | 1.3 |
Post-Earthquake | 1.1 | NA |
Notes:
Sliding stability analysis should be undertaken for the concrete gravity dam as an entire unit and for sections of the dam (e.g. piers).
The steps involved in the analysis are as follows:
Assess safety factors under Usual, Unusual, and Earthquake loading using unbonded shear resistance. The basic friction angle [˚] may be selected from literature based on the typical basic shear strength values for the contact rock type. Roughness estimates will typically require an evaluation and/or a review of construction photographs. If the safety factors for the various loading combinations are adequate, proceed to Step 5. Otherwise proceed to Step 2.
For dams with bonded foundations assess safety factors under Usual, Unusual, and Earthquake loading using bonded shear resistance values (friction angle [˚] and cohesion [MPa]) selected from literature based on the contact rock type. If the safety factors are adequate proceed to Step 3. Otherwise proceed to Step 4.
Confirm the degree of bonding and the existence of a cohesive bond by testing and assess safety factor using conservative estimates of friction angle and cohesion strength based on test results. The results of the analysis must demonstrate that the structure has a safety factor in excess of 1.0 in the absence of a cohesive bond. If safety factors are adequate, proceed to Step 5. Otherwise proceed to Step 4.
If safety factors for Usual and Unusual loadings are inadequate, repeat analysis with proposed remedial action alternatives (e.g. lowered reservoir level, anchors) until safety factors are adequate. If safety factor for Earthquake loading is inadequate, assess post-earthquake safety factor using unbonded shear resistance. If post-earthquake safety factor is adequate, evaluate damages to dam structure (deformation and stresses). If post-earthquake factor of safety is inadequate, repeat analysis with proposed remedial action alternatives until the safety factor is adequate.
Analysis complete; Dam structures meet stability criteria.
The analysis should also examine construction joints or other areas of severe concrete deterioration as well as failure planes through the foundation.
For the Usual Load cases, the Resultant should be in the middle third of the surface being analyzed. For new dams this is achieved by design. For existing dams this requirement may be waived if sliding factors of safety are met, and provided that the resultant is within the base of the dam and limits on allowable bearing stresses are not exceeded.
For the Unusual Loading case, the Resultant may be outside the middle third provided that the sliding factors of safety are met, and provided that the resultant is within the base of the dam, and the limits on allowable bearing stresses are not exceeded.
For the Earthquake Loading case, the Resultant may be located outside the base.
Uplift pressures vary linearly from full headwater to tailwater level. Uplift pressures may be reduced if the dam has adequate pressure relief (either natural or installed) and monitoring (instrumentation) systems and the results of the monitoring systems show that the pressure relief systems are functioning adequately.
Specific density for silt behind a dam should be taken as 1.4 for horizontal loading, 1.9 for vertical loading.
Generally, post-tensioned anchors should not be used as a primary means to stabilize new concrete structure dams. Where post-tensioned rock anchors are used to increase resistance to sliding and/or overturning resistance of the dam, the design must account for the characteristics of the foundation material established by field investigation, which may include in-situ testing and sampling or visual inspections. The specifications for anchoring systems must include double corrosion protection in accordance with standards established by the Post-Tensioning Institute and on-site lift-off testing or other integrity testing to demonstrate effectiveness. For dams with a Hazard Potential Classification of High or Very High, with potential loss of life, the safety factor under Usual Loading conditions should not be less than 1.0 without post-tensioned anchors. Where the factor of safety under Usual or Unusual Loading conditions is less than 1.0 without post-tension anchors, the design of the anchor system shall include redundancy to provide a factor of safety of 1.0 or more with the failure of any single anchor.